Solve for y
y=\frac{87}{602}\approx 0.144518272
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\frac{2y}{5}=\frac{174}{3010}
Divide both sides by 3010.
\frac{2y}{5}=\frac{87}{1505}
Reduce the fraction \frac{174}{3010} to lowest terms by extracting and canceling out 2.
2y=\frac{87}{1505}\times 5
Multiply both sides by 5.
2y=\frac{87\times 5}{1505}
Express \frac{87}{1505}\times 5 as a single fraction.
2y=\frac{435}{1505}
Multiply 87 and 5 to get 435.
2y=\frac{87}{301}
Reduce the fraction \frac{435}{1505} to lowest terms by extracting and canceling out 5.
y=\frac{\frac{87}{301}}{2}
Divide both sides by 2.
y=\frac{87}{301\times 2}
Express \frac{\frac{87}{301}}{2} as a single fraction.
y=\frac{87}{602}
Multiply 301 and 2 to get 602.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}